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Finding the Fourth Proportional to 85,732.80, 128,619.45 and 35,785.14

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Solution

The fourth proportional to 85,732.80, 128,619.45 and 35,785.14 is: 53,686.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,732.80 : 128,619.45 = 35,785.14 : x
  2. Step 2: Convert to fraction form
    85,732.80/128,619.45 = 35,785.14/x
  3. Step 3: Cross multiply
    85,732.80x = 128,619.45 × 35,785.14
  4. Step 4: Simplify right side
    85,732.80x = 4,602,665,024.97
  5. Step 5: Solve for x
    x = 4,602,665,024.97/85,732.80
  6. Step 6: Final answer
    x = 53,686.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.